IDEAS home Printed from https://ideas.repec.org/p/zbw/cauman/430.html
   My bibliography  Save this paper

Project scheduling with multiple modes: A comparison of exact algorithms

Author

Listed:
  • Hartmann, Sönke
  • Drexl, Andreas

Abstract

This paper is devoted to a comparison of all available branch-and-bound algorithms that can be applied to solve resource-constrained project scheduling problems with multiple execution modes for each activity. After summarizing the two exact algorithms that have been suggested in the literature, we propose an alternative exact approach based on the concepts of mode and extension alternatives to solve this problem. Subsequently, we compare it to the two procedures available in the literature. Therefore, the three algorithms as well as all available bounding criteria and dominance rules are summarized in a unified framework. In addition to a theoretical comparison of the procedures, we present the results of our computational studies in order to determine the most efficient algorithm.

Suggested Citation

  • Hartmann, Sönke & Drexl, Andreas, 1997. "Project scheduling with multiple modes: A comparison of exact algorithms," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 430, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    • Handle: RePEc:zbw:cauman:430
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/149052/1/manuskript_430.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Christofides, Nicos & Alvarez-Valdes, R. & Tamarit, J. M., 1987. "Project scheduling with resource constraints: A branch and bound approach," European Journal of Operational Research, Elsevier, vol. 29(3), pages 262-273, June.
    2. Sprecher, Arno & Drexl, Andreas, 1996. "Solving Multi-Mode Resource-Constrained Project Scheduling Problems by a Simple, General and Powerful Sequeacing Algorithm. Part II: Computation," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 386, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    3. Hartmann, Sonke & Sprecher, Arno, 1996. "A note on "hierarchical models for multi-project planning and scheduling"," European Journal of Operational Research, Elsevier, vol. 94(2), pages 377-383, October.
    4. F. Brian Talbot, 1982. "Resource-Constrained Project Scheduling with Time-Resource Tradeoffs: The Nonpreemptive Case," Management Science, INFORMS, vol. 28(10), pages 1197-1210, October.
    5. Erik Demeulemeester & Willy Herroelen, 1992. "A Branch-and-Bound Procedure for the Multiple Resource-Constrained Project Scheduling Problem," Management Science, INFORMS, vol. 38(12), pages 1803-1818, December.
    6. Sprecher, Arno & Kolisch, Rainer & Drexl, Andreas, 1995. "Semi-active, active, and non-delay schedules for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 80(1), pages 94-102, January.
    7. Rainer Kolisch & Arno Sprecher & Andreas Drexl, 1995. "Characterization and Generation of a General Class of Resource-Constrained Project Scheduling Problems," Management Science, INFORMS, vol. 41(10), pages 1693-1703, October.
    8. Sprecher, Arno & Drexl, Andreas, 1996. "Solving Multi-Mode Resource-Constrained Project Scheduling Problems by a Simple, General and Powerful Sequeacing Algorithm. Part I: Theory," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 385, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    9. Speranza, M. Grazia & Vercellis, Carlo, 1993. "Hierarchical models for multi-project planning and scheduling," European Journal of Operational Research, Elsevier, vol. 64(2), pages 312-325, January.
    10. F. Brian Talbot & James H. Patterson, 1978. "An Efficient Integer Programming Algorithm with Network Cuts for Solving Resource-Constrained Scheduling Problems," Management Science, INFORMS, vol. 24(11), pages 1163-1174, July.
    11. Andreas Drexl, 1991. "Scheduling of Project Networks by Job Assignment," Management Science, INFORMS, vol. 37(12), pages 1590-1602, December.
    12. Sprecher, Arno, 1996. "Solving the RCPSP efficiently at modest memory requirements," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 425, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Alireza Etminaniesfahani & Hanyu Gu & Leila Moslemi Naeni & Amir Salehipour, 2024. "An efficient relax-and-solve method for the multi-mode resource constrained project scheduling problem," Annals of Operations Research, Springer, vol. 338(1), pages 41-68, July.
    2. Kolisch, Rainer & Padman, Rema, 1997. "An integrated survey of project scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 463, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    3. T Wauters & K Verbeeck & G Vanden Berghe & P De Causmaecker, 2011. "Learning agents for the multi-mode project scheduling problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(2), pages 281-290, February.
    4. Mick Van Den Eeckhout & Broos Maenhout & Mario Vanhoucke, 2020. "Mode generation rules to define activity flexibility for the integrated project staffing problem with discrete time/resource trade-offs," Annals of Operations Research, Springer, vol. 292(1), pages 133-160, September.
    5. Alfredo S. Ramos & Pablo A. Miranda-Gonzalez & Samuel Nucamendi-Guillén & Elias Olivares-Benitez, 2023. "A Formulation for the Stochastic Multi-Mode Resource-Constrained Project Scheduling Problem Solved with a Multi-Start Iterated Local Search Metaheuristic," Mathematics, MDPI, vol. 11(2), pages 1-25, January.
    6. Maryam Sadeghloo & Saeed Emami & Ali Divsalar, 2024. "A Benders decomposition algorithm for the multi-mode resource-constrained multi-project scheduling problem with uncertainty," Annals of Operations Research, Springer, vol. 339(3), pages 1637-1677, August.
    7. Drexl, Andreas & Kolisch, Rainer & Salewski, Frank, 1998. "Projektmanagement bei flexiblen Arbeitszeiten," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 494, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    8. Hartmann, Sönke, 1997. "Project scheduling with multiple modes: A genetic algorithm," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 435, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    9. Bert De Reyck & Erik Demeulemeester & Willy Herroelen, 1998. "Local search methods for the discrete time/resource trade‐off problem in project networks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(6), pages 553-578, September.
    10. Balouka, Noemie & Cohen, Izack, 2021. "A robust optimization approach for the multi-mode resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 291(2), pages 457-470.
    11. He, Naihui & Zhang, David Z. & Yuce, Baris, 2022. "Integrated multi-project planning and scheduling - a multiagent approach," European Journal of Operational Research, Elsevier, vol. 302(2), pages 688-699.
    12. Drexl, Andreas & Kolisch, Rainer & Sprecher, Arno, 1997. "Koordination und Integration im Projektmanagement - Aufgaben und Instrumente," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 443, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    13. Sprecher, Arno, 1996. "Solving the RCPSP efficiently at modest memory requirements," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 425, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sprecher, Arno & Drexl, Andreas, 1998. "Multi-mode resource-constrained project scheduling by a simple, general and powerful sequencing algorithm," European Journal of Operational Research, Elsevier, vol. 107(2), pages 431-450, June.
    2. Kolisch, R. & Padman, R., 2001. "An integrated survey of deterministic project scheduling," Omega, Elsevier, vol. 29(3), pages 249-272, June.
    3. Sprecher, Arno & Drexl, Andreas, 1996. "Solving Multi-Mode Resource-Constrained Project Scheduling Problems by a Simple, General and Powerful Sequeacing Algorithm. Part I: Theory," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 385, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    4. Schirmer, Andreas & Riesenberg, Sven, 1997. "Parameterized heuristics for project scheduling: Biased random sampling methods," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 456, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    5. Sprecher, Arno, 1996. "Solving the RCPSP efficiently at modest memory requirements," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 425, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    6. Brucker, Peter & Drexl, Andreas & Mohring, Rolf & Neumann, Klaus & Pesch, Erwin, 1999. "Resource-constrained project scheduling: Notation, classification, models, and methods," European Journal of Operational Research, Elsevier, vol. 112(1), pages 3-41, January.
    7. Weglarz, Jan & Józefowska, Joanna & Mika, Marek & Waligóra, Grzegorz, 2011. "Project scheduling with finite or infinite number of activity processing modes - A survey," European Journal of Operational Research, Elsevier, vol. 208(3), pages 177-205, February.
    8. Kolisch, Rainer & Sprecher, Arno, 1997. "PSPLIB - A project scheduling problem library : OR Software - ORSEP Operations Research Software Exchange Program," European Journal of Operational Research, Elsevier, vol. 96(1), pages 205-216, January.
    9. Hartmann, Sönke, 1997. "Project scheduling with multiple modes: A genetic algorithm," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 435, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    10. Sprecher, Arno & Drexl, Andreas, 1996. "Solving Multi-Mode Resource-Constrained Project Scheduling Problems by a Simple, General and Powerful Sequeacing Algorithm. Part II: Computation," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 386, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    11. Kolisch, Rainer, 1996. "Serial and parallel resource-constrained project scheduling methods revisited: Theory and computation," European Journal of Operational Research, Elsevier, vol. 90(2), pages 320-333, April.
    12. Jan Böttcher & Andreas Drexl & Rainer Kolisch & Frank Salewski, 1999. "Project Scheduling Under Partially Renewable Resource Constraints," Management Science, INFORMS, vol. 45(4), pages 543-559, April.
    13. Sprecher, Arno & Hartmann, Sönke & Drexl, Andreas, 1994. "Project scheduling with discrete time-resource and resource-resource tradeoffs," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 357, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    14. Klein, Robert & Scholl, Armin, 1999. "Computing lower bounds by destructive improvement: An application to resource-constrained project scheduling," European Journal of Operational Research, Elsevier, vol. 112(2), pages 322-346, January.
    15. Böttcher, Jan & Drexl, Andreas & Kolisch, Rainer & Salewski, Frank, 1996. "Project scheduling under partially renewable resource constraints," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 398, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    16. Herroelen, Willy S. & Van Dommelen, Patrick & Demeulemeester, Erik L., 1997. "Project network models with discounted cash flows a guided tour through recent developments," European Journal of Operational Research, Elsevier, vol. 100(1), pages 97-121, July.
    17. Salewski, Frank & Schirmer, Andreas & Drexl, Andreas, 1997. "Project scheduling under resource and mode identity constraints: Model, complexity, methods, and application," European Journal of Operational Research, Elsevier, vol. 102(1), pages 88-110, October.
    18. Sprecher, Arno, 1998. "Non-equivalent search strategies for resource-constrained project scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 493, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    19. Kolisch, Rainer & Sprecher, Arno, 1996. "PSPLIB - a project scheduling problem library," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 396, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    20. Sprecher, Arno, 1997. "A competitive exact algorithm for assembly line balancing," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 449, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:cauman:430. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/ibkiede.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.